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If Kevin gives Diana $16, he will have the same amount of money as her. If Diana gives Kelvin $20, the amount of money she has will be 10% of his. How much money has each of them

User Bosie
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1 Answer

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Let call the amount Kevin has x and the amount Diana has y.

The equations describing this situation are


x-16=y
y-20=0.1x

Let us now solve the system.

The first equation gives us


x=y+16

putting this into the second equation gives us


y-20=0.1(y+16)

which simplifies to


y-20=0.1y+1.6

Combing terms gives us


0.9y=21.6

and dividing both sides by 0.9 gives us


y=24

And now we solve for x.


x=16+24

x = 40 and y =16

which is our answer!

User Sid Steward
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